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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 15246k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15246.k1 | 15246k1 | \([1, -1, 0, 5670, -261068]\) | \(228516153239/462422016\) | \(-40789783609344\) | \([]\) | \(30720\) | \(1.2960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15246k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15246k do not have complex multiplication.Modular form 15246.2.a.k
sage: E.q_eigenform(10)